Ok, I see two, maybe three major problems, and at least one small one.
First is as already mentioned the tune-o-matic is angled WAY too much. It should be offset an 1/8 inch on the bass side, you won't be able to tune it up correctly at all the way it is now.
Second is the neck angle (this is the maybe problem) did you angle the neck so that it will line up well with the tune-o-matic? If not take a look and you should be able to shim it easily.
Third problem is big one. You don't have any wood on either side of the neck. This will make it easy to move around and it probably won't ever be very stable, so you'll have tuning problems.
The minor problem is that with the open control cavity it'll be easier to get dirt in there and the pots may get scratchy.
So, on the up side, that's a really cool shape, I like it a lot. Oh, one other suggestion, and this is more personal preferance than anything, but in the future you might want to put the humbucker in the bridge and the single in the neck, the sound tends to be better balanced that way (depending but in general that's the case).
The neck looks really nice as well, did you make that or buy it? And what's with the floyd nut?